(1) Given that R = 4,000, it follows that
4,000 = -^2 ], or]=—^3 (4,000) = 6,000.
3 2
Therefore,-]=^5 - (6,000)^5 = 10,000;(^3 3)
SUFFICIENT.
(2) Given that R = 6,000 or J = 6,000, then
]=—^3 (6,000) = 9 ,000 or J = 6,000. Thus,
2
-] 5 5 = - (9,000) = 15,000 or-]=^5 —^5 (6,000)
3 3 3 3
= 10,000, and so it is not possible to
5
determine the value of 3 ]; NOT sufficient.
Th e correct answer 1s A;
statement 1 alone is sufficient.
DS13384
180.What is the value of the integer x?
(1) x rounded to the nearest hundred is 7,200.
(2) The hundreds digit of xis 2.
Arithmetic
(1) Given that x rounded to the nearest
hundred is 7,200, the value of x cannot be
determined. For example, x could be 7,200
or x could be 7,201; NOT sufficient.
(2) Given that the hundreds digit of xis 2, the
value of x cannot be determined. For
example, x could be 7,200 or x could be
7,201; NOT sufficient.
Taking (1) and (2) together is of no more help
than either (1) or (2) taken separately because the
same examples were used in both (1) and (2).
Th e correct answer 1s E;
both statements together are still not sufficient.
DS04644
- ls 2x>2y?
(1) X > y
(2) 3x > 3yAlgebra
(1) It is given that x > y. Thus, multiplying both
sides by the positive number 2, it follows
that 2x > 2y; SUFFICIENT.5.5 Answer Explanations(2) It is given that 3x > 3y. Thus, multiplying
2
both sides by the positive number -, it
3
follows that 2x > 2y; SUFFICIENT.
The correct answer is D;
each statement alone is sufficient.
DS04636 p
182.If p and q are positive, is - less than 1?
q
(1) p is less than 4.
(2) q is less than 4.Arithmetic
(1) Given that pis less than 4, then it is not
possible to determine whether—p is less
q
than 1. For example, if p = l and q = 2, then
—p = - and l^1- is less than 1. However, if
q^2 2 p
p = 2 and q = l, then—= 2 and 2 is not less
q
than 1; NOT sufficient.
(2) Given that q is less than 4, then it is not
possible to determine whether—p
is less
q
than 1. For example, if p = l and q = 2, then
p l 1 - = - and - is less than 1. However, if
q^2 2 p
p = 2 and q = l, then—=^2 and 2 is not
q
less than 1; NOT sufficient.
Ta如ng (1) and (2) together is of no more help
than either (1) or (2) taken separately because
the same examples were used in both (1) and (2).
Th e correct answer ts E·，
both statements together are still not sufficient.
DS02779- In each quarter of 1998, Company M earned more
money than in the previous quarter. What was the
range of Company M's quarterly earnings in 1998?
(1) In the 2nd and 3rd quarters of 1998, Company
M earned $4.0 million and $4.6 million,
respectively.
(2) In the 1st and 4th quarters of 1998, Company
M earned $3.8 million and $4.9 million,
respectively.